Answer:
The measure of the angle between the vectors = Ф = 11.30°
Step-by-step explanation:
Given

Next, find the lengths of the vectors:

u = ⟨2, –3⟩


u = ⟨2, –3⟩


Finally, the angle is given by:

cos (Ф) = 5/√26
Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)
Ф = 11.30°
Thus, the measure of the angle between the vectors = Ф = 11.30°
Answer:
22.6 inches
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d
The diameter is 7.2 inches
Approximating pi by 3.14
C = 3.14 * 7.2
C = 22.608
Rounding to the nearest tenth
C = 22.6
Answer:
12x =102-6
x=96/12
x=8 is the correct answer
Answer:

Step-by-step explanation:
Given that,
Total number of slots = 38
0 and 00 are green.
Remaining number of slots = 38 - 2 = 36
18 of the 36 slots are colored red.
Rest number of slots = 36 - 18 = 18, are colored black.
The wheel spins once.
To find:
Probability that the ball stops on red.
Solution:
Formula for probability of an event E is given as:

Here, number of favorable cases is equal to the number of red slots.
Number of red slots = 18
Total number of cases = 38
